The author and colleagues have already proved that mediated morphological filters (MEDMFs) remove speckle, Gaussian or salt&pepper noise better than classical morphological filters (MFs) and linear methods. They have also demonstrated the dominance of MEDMFs in a multiple noisy environment compared with MFs and linear filters. Here, they describe novel new research that has led to new morphological operators being successfully devised, the performance of which is better than MEDMFs for both single and multiple denoising. The new operators employ a special combination of weighted median filters and MFs.